Cuboid Orthogonal Flux - MapleSim Help

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Cuboid Orthogonal Flux

Cuboid with flux orthogonal to direction of motion; constant permeability

Modelica Standard Library

	Description
	The Cuboid Orthogonal Flux Reluctance Force (or Cuboid Orthogonal Flux) component models a cuboid with flux orthogonal to the direction of motion.

	Equations
	$A = a ℓ$ $B = \frac{Φ}{A}$ $F_{m} = \frac{1}{2} V_{m}^{2} \frac{{dG}_{m}}{dx}$ $G_{m} = μ_{0} μ_{r} \frac{A}{b}$ $R_{m} = \frac{1}{G_{m}}$ $Φ = Φ_{p} = - Φ_{n}$ $V_{m} = V_{m_{p}} - V_{m_{n}} = R_{m} Φ$ $\frac{{dG}_{m}}{dx} = μ_{0} μ_{r} \frac{a}{b} \frac{d ℓ}{dx}$ $f_{flange} = - F_{m}$

Variables

Name	Units	Description	Modelica ID
$V_{m}$	$A$	Magnetic potential difference between both ports	V_m
$Φ$	$Wb$	Magnetic flux from port_p to port_n	Phi
$F_{m}$	$N$	Reluctance force	F_m
$s$	$m$	Distance between flange and support	s
$R_{m}$	$H^{−1}$	Magnetic reluctance	R_m
$G_{m}$	$H$	Magnetic permeance	G_m
$\frac{{dG}_{m}}{dx}$	$\frac{H}{m}$	Derivative of permeance with respect to armature position	dGmBydx
$ℓ$	$m$	Length in direction of motion (orthogonal to flux)	l
$B$	$T$	Homogeneous flux density	B

Connections

Name	Description	Modelica ID
${port}_{p}$	Positive magnetic port	port_p
${port}_{n}$	Negative magnetic port	port_n
$flange$	Generated reluctance force at armature position	flange
$support$	Conditional Support Flange	support

Parameters

Name	Default	Units	Description	Modelica ID
Use Support	$false$		= true, if support flange enabled, otherwise implicitly grounded	useSupport
$μ_{r}$	$1$	$1$	Relative magnetic permeability	mu_r
$\frac{d ℓ}{dx}$	$1$	$1$	Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1	dl/dx
$a$	$0.01$	$m$	Width of rectangular cross-section	a
$b$	$0.01$	$m$	Height of rectangular cross-section (in flux direction)	b

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

Magnetic Library

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